Solving the phase problem in i(AlPdMn)

We apply a new technique for ab initio phase determination [Acta Crystallogr. Sect. A, A55, 48 (1999)] to solve for the average structure of the icosahedral (i) phase of AlPdMn. After an introduction to the crystallographic phase problem and a description of the method, we present a brief report of our findings for the structure of i(AlPdMn). Despite the use of data from extremely high quality samples, we find strong evidence of disorder in the structure, lending support to the random tiling model of quasicrystal stabilization.